The constant modulus algorithm (CMA) has low computational complexity while presenting slow convergence and possible convergence to local minima, the CMA family of algorithms based on affine projection version (AP-CMA) alleviates the speed limitations of the CMA. However, the computational complexity has been a weak point in the implementation of AP-CMA. To reduce the computational complexity of the adaptive filtering algorithm, a new AP-CMA algorithm based on set membership (SM-AP-CMA) is proposed. The new algorithm combines a bounded error specification on the adaptive filter with the concept of data-reusing. Simulations confirmed that the convergence rate of the proposed algorithm is significantly faster; meanwhile, the excess mean square error can be maintained in a relatively low level and a substantial reduction in the number of updates when compared with its conventional counterpart.

Date Published: 13 March 2013
PDF: 8 pages
Proc. SPIE 8784, Fifth International Conference on Machine Vision (ICMV 2012): Algorithms, Pattern Recognition, and Basic Technologies, 87841W (13 March 2013); doi: 10.1117/12.2014201

Published in SPIE Proceedings Vol. 8784:
Fifth International Conference on Machine Vision (ICMV 2012): Algorithms, Pattern Recognition, and Basic Technologies
Yulin Wang; Liansheng Tan; Jianhong Zhou, Editor(s)